Greatest Common Factor of 5 and 2459

GCF(5, 2459) = 1, Greatest common factor of 5 and 2459 is 1. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 5 and 2459. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 5 and 2459 by prime factorization method

We will first find the prime factorization of 5 and 2459.
Prime Factorization of 5 is 1, 5 and Prime Factorization of 2459 is 1, 2459.

  • Factorize\( (5) = \) \(1\times 5\)
  • Factorize\( (2459) = \) \(1\times 2459\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(5, 2459) = 1\times 1 = 1\).

Greatest Common Factor of 5 and 2459 by matching factors method

List of positive integers factors of 5 leaving a remainder zero is 1, 5
List of positive integers factors of 2459 leaving a remainder zero is 1, 2459
As you can see, 1 is the greatest and common number that 5 and 2459 divides into.
So the greatest common factor 5 and 2459 is 1.
\(GCF(5, 2459) = 1\).

If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
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